All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Shapes
Dividing a donut (Posted on 2005-04-23) Difficulty: 3 of 5
I want to divide the surface of a donut into as many different regions as possible. The regions can be any shape, as long as they are each in one piece. Each region must touch each of the other regions (touching on a corner doesn't count). How many regions can I make?

See The Solution Submitted by Tristan    
Rating: 4.0000 (5 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
I give the wrong solution | Comment 6 of 34 |

I am sorry that I have overlooked the question.  I did not realise the phrase, each region must touch each of the other regions (touching on a corner doesn't count), is mentioned in the question.  Ignore my answer previously.

The correct answer has been submitted by Hugo in his latest comment to be 8 sections and it is made up of 4 parts.  His answer is absolutely correct and non-debatable.

Edited on April 23, 2005, 5:46 pm
  Posted by Jonathan Chang on 2005-04-23 17:06:02

Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (2)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2018 by Animus Pactum Consulting. All rights reserved. Privacy Information